3848076000 has 288 divisors, whose sum is σ = 13772959200. Its totient is φ = 1017446400.

The previous prime is 3848075999. The next prime is 3848076049. The reversal of 3848076000 is 6708483.

3848076000 is a `hidden beast` number, since 3 + 8 + 48 + 0 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×3848076000³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5003616 + ... + 5004384.

It is an arithmetic number, because the mean of its divisors is an integer number (47822775).

Almost surely, 2^3848076000 is an apocalyptic number.

3848076000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3848076000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6886479600).

3848076000 is an abundant number, since it is smaller than the sum of its proper divisors (9924883200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3848076000 is a wasteful number, since it uses less digits than its factorization.

3848076000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3848076000 is about 62032.8622586448. The cubic root of 3848076000 is about 1567.0440819004.

The spelling of 3848076000 in words is "three billion, eight hundred forty-eight million, seventy-six thousand".